ASMathsCambridge (CIE)Pure 2Revision NotesAlgebra & FunctionsPolynomialsImproper Algebraic Fractions

Improper Algebraic Fractions (Cambridge (CIE) AS Maths: Pure 2): Revision Note

Exam code: 9709

Written by: Paul

Updated on 19 June 2025

Improper algebraic fractions

What are improper algebraic fractions?

The degree of the numerator is greater than or equal to the degree of the denominator

Top Heavy Rational Expressions Notes Diagram 1, A Level & AS Level Pure Maths Revision Notes

How do I simplify improper algebraic fractions?

Top Heavy Rational Expressions Notes Diagram 2, A Level & AS Level Pure Maths Revision Notes

Write as a quotient and a remainder
The algebraic equivalent of changing a top-heavy fraction to a mixed number

Top Heavy Rational Expressions Notes Diagram 3, A Level & AS Level Pure Maths Revision Notes

Examiner Tips and Tricks

Remember that simple cases are sometimes the hardest to spot!

Top Heavy Rational Expressions Exam Tip Diagram, A Level & AS Level Pure Maths Revision Notes

Worked Example

Top Heavy Rational Expressions Example Diagram, A Level & AS Level Pure Maths Revision Notes

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

I would just like to say a massive thank you for putting together such a brilliant, easy to use website.I really think using this site helped me secure my top gradesin science and maths. You really did save my exams! Thank you.

Beth
IGCSE Student

This website is soooo useful and I can’t ever thank you enough for organising questions by topic like this. Furthermore, the name of the website could not have been more appropriate as it literally did SAVE MY EXAMS!

Fathima
A Level Student

Incredible! SO worth my money, the revision notes have everything I need to know and are so easy to understand. I actually enjoy revising! It makes me feel a lot more confident for my GCSEs in a few months.

Kate
GCSE Student

Absolutely brilliant, both my girls used it for A levels and GCSE. It's saves on paper copies, also beneficial exam questions ranked from easy to hard. It's removed a lot of stress from the exams.

Sameera
Parent

Just to say that your resources are the best I have seen and I have been teaching chemistry at different levels for about 40 years

Mark
Chemistry Teacher

Excellent